Advanced geometry for high schools : synthetic and analytical (1919)
McDougall, A. H. (Alexander Hiram), 1859-1946 · Toronto : Copp, Clark · leaf 29
As ABC, DEF is the circuincentre of the other ; (c) The two As have the same N.-P. circle. (Note.—The rt. bisectors of AO, BO, CO form thesides of A DEF. Let L be the middle point of AO. J_sfrom D, E on BC, CA respectively meet at S the circum-centre of A ABC. DS bisects BC at G. Prove L LEO =L OCA… … ,P^ (Note.—ABCD the given quadrilateral; produce theopposite sides to meet at E, F. Describe circles aboutAs EBC, FCD meeting again at P. P is the required point. EXERCISES 17 20. In the A ABC, the _L from A to BC is produced tocut the circumcircle at P. Prove that the Simpsons Lineof P is || to…
Geometry · Geometry, Analytic
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